To find the mean of the numbers [tex]\(2, 4, 8, 8, 8\)[/tex] and determine the sum of these numbers, we can follow these steps:
1. List the numbers: We start with the sequence of numbers given: [tex]\(2, 4, 8, 8, 8\)[/tex].
2. Sum of the numbers:
To find the sum of these numbers, we add them together:
[tex]\[
2 + 4 + 8 + 8 + 8
\][/tex]
Adding these step-by-step:
[tex]\[
2 + 4 = 6
\][/tex]
[tex]\[
6 + 8 = 14
\][/tex]
[tex]\[
14 + 8 = 22
\][/tex]
[tex]\[
22 + 8 = 30
\][/tex]
So, the sum of the numbers is:
[tex]\[
\boxed{30}
\][/tex]
3. Count the numbers: There are five numbers in this sequence: [tex]\(2, 4, 8, 8, 8\)[/tex].
4. Mean (average):
To find the mean, we divide the sum of the numbers by the count of the numbers.
[tex]\[
\text{Mean} = \frac{\text{Sum of the numbers}}{\text{Count of the numbers}} = \frac{30}{5}
\][/tex]
[tex]\[
\text{Mean} = 6.0
\][/tex]
Therefore, the mean of the numbers is:
[tex]\[
\boxed{6.0}
\][/tex]
